{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GEQTBWM47OGNR5N3Q3EK7A55S6","short_pith_number":"pith:GEQTBWM4","schema_version":"1.0","canonical_sha256":"312130d99cfb8cd8f5bb86c8af83bd97b504cdc0929fea9030886b1db93aff7b","source":{"kind":"arxiv","id":"2508.20463","version":2},"attestation_state":"computed","paper":{"title":"Fourier extension estimates on a strip in $\\mathbb{R}^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Aleksandar Bulj, Shobu Shiraki","submitted_at":"2025-08-28T06:29:22Z","abstract_excerpt":"Given a smooth curve with nonzero curvature $\\Sigma\\subset \\mathbb{R}^2$, let $E_{\\Sigma}$ denote the associated Fourier extension operator. For both general compact curves and the parabola, we characterize the pairs $(p,q)\\in [1,\\infty]^2$ for which the estimates $\\|E_{\\Sigma}f\\|_{L^q(\\Omega)}\\leq C\\|f\\|_{L^p(\\Sigma)}$ and $(\\mathcal{R}(|E_{\\Sigma}f|^{q}))^{\\frac{1}{q}}\\leq C\\|f\\|_{L^p(\\Sigma)}$ hold, where $\\Omega$ is a strip in $\\mathbb{R}^2$ and $\\mathcal{R}$ denotes the Radon transform. This work continues the study of mass concentration of $x\\mapsto E_{\\Sigma}f(x)$ near lines in $\\mathbb"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2508.20463","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2025-08-28T06:29:22Z","cross_cats_sorted":[],"title_canon_sha256":"7ebf559c36403c25c56b84c85e67134aef636014fc801ad2395c861610b2d976","abstract_canon_sha256":"3ab0655bca07bfdefb55489ecc66f7f17090551a8efd294dcd598cc17c206ca0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:08:07.207148Z","signature_b64":"lH5G/NjCl+guH17O3DtTz0SDC2gHCHEsQa8+S7hzQ6izy7b0ihhfeKyQG0Zovg42KyhSObSNggVK8XEYkn9KBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"312130d99cfb8cd8f5bb86c8af83bd97b504cdc0929fea9030886b1db93aff7b","last_reissued_at":"2026-07-05T12:08:07.206550Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:08:07.206550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fourier extension estimates on a strip in $\\mathbb{R}^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Aleksandar Bulj, Shobu Shiraki","submitted_at":"2025-08-28T06:29:22Z","abstract_excerpt":"Given a smooth curve with nonzero curvature $\\Sigma\\subset \\mathbb{R}^2$, let $E_{\\Sigma}$ denote the associated Fourier extension operator. For both general compact curves and the parabola, we characterize the pairs $(p,q)\\in [1,\\infty]^2$ for which the estimates $\\|E_{\\Sigma}f\\|_{L^q(\\Omega)}\\leq C\\|f\\|_{L^p(\\Sigma)}$ and $(\\mathcal{R}(|E_{\\Sigma}f|^{q}))^{\\frac{1}{q}}\\leq C\\|f\\|_{L^p(\\Sigma)}$ hold, where $\\Omega$ is a strip in $\\mathbb{R}^2$ and $\\mathcal{R}$ denotes the Radon transform. This work continues the study of mass concentration of $x\\mapsto E_{\\Sigma}f(x)$ near lines in $\\mathbb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.20463","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.20463/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2508.20463","created_at":"2026-07-05T12:08:07.206629+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.20463v2","created_at":"2026-07-05T12:08:07.206629+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.20463","created_at":"2026-07-05T12:08:07.206629+00:00"},{"alias_kind":"pith_short_12","alias_value":"GEQTBWM47OGN","created_at":"2026-07-05T12:08:07.206629+00:00"},{"alias_kind":"pith_short_16","alias_value":"GEQTBWM47OGNR5N3","created_at":"2026-07-05T12:08:07.206629+00:00"},{"alias_kind":"pith_short_8","alias_value":"GEQTBWM4","created_at":"2026-07-05T12:08:07.206629+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6","json":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6.json","graph_json":"https://pith.science/api/pith-number/GEQTBWM47OGNR5N3Q3EK7A55S6/graph.json","events_json":"https://pith.science/api/pith-number/GEQTBWM47OGNR5N3Q3EK7A55S6/events.json","paper":"https://pith.science/paper/GEQTBWM4"},"agent_actions":{"view_html":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6","download_json":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6.json","view_paper":"https://pith.science/paper/GEQTBWM4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.20463&json=true","fetch_graph":"https://pith.science/api/pith-number/GEQTBWM47OGNR5N3Q3EK7A55S6/graph.json","fetch_events":"https://pith.science/api/pith-number/GEQTBWM47OGNR5N3Q3EK7A55S6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6/action/storage_attestation","attest_author":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6/action/author_attestation","sign_citation":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6/action/citation_signature","submit_replication":"https://pith.science/pith/GEQTBWM47OGNR5N3Q3EK7A55S6/action/replication_record"}},"created_at":"2026-07-05T12:08:07.206629+00:00","updated_at":"2026-07-05T12:08:07.206629+00:00"}